Question 3: Paul Atreides wants to save money to meet three objectives. First, he would like to be able to retire 20 years from now with retirement income of $15,000 per month for 20 years, with the first payment received 20 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 10 years at an estimated cost of $100,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $100,000 to Chani, his girlfriend. He can afford to save $3,000 per month for the next 10 years. If he can earn an 10 percent EAR before he retires and an 9 percent EAR after he retires, how much will he have to save each month in years 11 through 20? Note: To provide coherence and organization to your work, arrange your work for this question as follows: Step 1: Convert both EARS to annual nominal rates Step 2: Compute the amount needed at the 20-year mark from now Step 3: Compute the amount in hand at the 10-year mark from now Step 4: Compute the amount still required at the 10-year mark Step 5: Compute the shortage/surplus, if any, and compute the required monthly savings between years 11 through 20.
Question 3: Paul Atreides wants to save money to meet three objectives. First, he would like to be able to retire 20 years from now with retirement income of $15,000 per month for 20 years, with the first payment received 20 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 10 years at an estimated cost of $100,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $100,000 to Chani, his girlfriend. He can afford to save $3,000 per month for the next 10 years. If he can earn an 10 percent EAR before he retires and an 9 percent EAR after he retires, how much will he have to save each month in years 11 through 20? Note: To provide coherence and organization to your work, arrange your work for this question as follows: Step 1: Convert both EARS to annual nominal rates Step 2: Compute the amount needed at the 20-year mark from now Step 3: Compute the amount in hand at the 10-year mark from now Step 4: Compute the amount still required at the 10-year mark Step 5: Compute the shortage/surplus, if any, and compute the required monthly savings between years 11 through 20.
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 43P
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